“…The symmetry [4] O implies that there is no orbital excitation and the parity of the pentaquark is negative, i. e. the same as the intrinsic parity of the antiquark. But if one quark is excited to the p-shell the parity becomes positive and the lowest symmetry allowed for the orbital part of the wave function is [31] [4] F S in its lowest state, which has I = 0 and S = 0. Although this state contains one unit of orbital excitation the attraction brought by the FS interaction is so strong that it overcomes the excess of kinetic energy and generates a positive parity state below the negative parity one [10].…”
Section: Parity and Spinmentioning
confidence: 99%
“…As above, this implies an excess of kinetic energy due to an extra unit of orbital angular momentum. Then, according to the Pauli principle, the lowest symmetry of the wave function in the relevant degrees of freedom is [31] CS . This symmetry brings less attraction than [4] F S in the FS model, which is insufficient to overcome the excess of kinetic energy.…”
Section: Parity and Spinmentioning
confidence: 99%
“…It was found that this can reduce the size of the widths of the antidecuplet members without much affecting the masses. However, another chiral soliton study [31], based on an "exact" treatment (not only the first order) of SU(3) F breaking advocates large 8 + 10 mixing from the mass analysis. Thus the representation mixing seems to remain a controversial problem in the chiral soliton model.…”
Section: Representation Mixing In the Fs Modelmentioning
Abstract. Some recent developments in the study of light and heavy pentaquarks are reviewed, mainly within constituent quark models. Emphasis is made on results obtained in the flavor-spin model where a nearly ideal octet-antidecuplet mixing is obtained. The charmed antisextet is reviewed in the context of an SU(4) classification.
“…The symmetry [4] O implies that there is no orbital excitation and the parity of the pentaquark is negative, i. e. the same as the intrinsic parity of the antiquark. But if one quark is excited to the p-shell the parity becomes positive and the lowest symmetry allowed for the orbital part of the wave function is [31] [4] F S in its lowest state, which has I = 0 and S = 0. Although this state contains one unit of orbital excitation the attraction brought by the FS interaction is so strong that it overcomes the excess of kinetic energy and generates a positive parity state below the negative parity one [10].…”
Section: Parity and Spinmentioning
confidence: 99%
“…As above, this implies an excess of kinetic energy due to an extra unit of orbital angular momentum. Then, according to the Pauli principle, the lowest symmetry of the wave function in the relevant degrees of freedom is [31] CS . This symmetry brings less attraction than [4] F S in the FS model, which is insufficient to overcome the excess of kinetic energy.…”
Section: Parity and Spinmentioning
confidence: 99%
“…It was found that this can reduce the size of the widths of the antidecuplet members without much affecting the masses. However, another chiral soliton study [31], based on an "exact" treatment (not only the first order) of SU(3) F breaking advocates large 8 + 10 mixing from the mass analysis. Thus the representation mixing seems to remain a controversial problem in the chiral soliton model.…”
Section: Representation Mixing In the Fs Modelmentioning
Abstract. Some recent developments in the study of light and heavy pentaquarks are reviewed, mainly within constituent quark models. Emphasis is made on results obtained in the flavor-spin model where a nearly ideal octet-antidecuplet mixing is obtained. The charmed antisextet is reviewed in the context of an SU(4) classification.
We thoroughly compare the bound state and rigid rotator approaches to three-flavored chiral solitons. We establish that these two approaches yield identical results for the baryon spectrum and kaon-nucleon S-matrix in the limit that the number of colors (N C ) tends to infinity. After proper subtraction of the background phase shift the bound state approach indeed exhibits a clear resonance behavior in the strangeness S = +1 channel. We present a first dynamical calculation of the widths of the Θ + and Θ * pentaquarks for finite N C in a chiral soliton model.
“…like the old predictions of the soliton model [86,17] and expected by others e.g. new calculations of the soliton model [79,87]. Furthermore, lattice calculations give very different results to the questions if pentaquarks exist and which mass and parity they have.…”
Abstract. We review the experimental evidence on firstly, strangeness production as a signature for the QCD phase transition and secondly, pentaquarks, the latest and most exotic manifestations of strangeness in hadrons.
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